The in-form forward has been linked with a host of clubs but the Rojiblancos believe that they can manage to persuade him to spend another season at the Vicente Calderon.
Atletico Madrid technical director Andrea Berta is confident the club can hold on to Diego Costa and its other star players for at least another year.
Chelsea and Arsenal are reportedly among the suitors of the Brazil-born forward, while Manchester United has been repeatedly linked with Koke.
However, Berta believes that while Atletico remains "a selling club", coach Diego Simeone will be able to persuade Costa and company to stay at the Vicente Calderon beyond the summer.
"[Costa] has managed to develop over the years thanks to his patience to wait for his opportunity," the Rojiblancos official told Tele Radio Stereo. "He has very important qualities, much determination and competitiveness. He is a special player.
"Atletico are a club who, due to their nature, have to sell every year, but we believe that we can keep our players for at least another year. Diego Simeone is passing his characteristics onto the players. The squad identifies with him and his charisma. He has the ability to get every player to take on a big role in the team."
Consequently, Berta is optimistic about Atletico's hopes of winning more silverware this season and next.
"The president [Enrique Cerezo] and the owner [Miguel Angel Gil Marin] of the club are competent people," he explained. "Then there is a group [of players] who are doing a superb job: five cups and seven finals [since 2010].
"The project goes beyond individual abilities. They graft hard in every game as if it were their last."